Question: Reading and grades (10.2) Summary statistics for the two groups from Minitab are provided below. Type of reader N Mean StDev SE Mean Heavy 47

Reading and grades (10.2) Summary statistics for the two groups from Minitab are provided below.

Type of reader N Mean StDev SE Mean Heavy 47 3.640 0.324 0.047 Light 32 3.356 0.380 0.067

(a) Explain why it is acceptable to use two-sample t procedures in this setting.

(b) Construct and interpret a 95% confidence interval for the difference in the mean English grade for light and heavy readers.

(c) Does the interval in part

(b) provide convincing evidence that reading more causes a difference in students’ English grades? Justify your answer.

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